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What is the Least Common Multiple of 5512 and 5523?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 5512 and 5523 is 30442776.

LCM(5512,5523) = 30442776

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Least Common Multiple of 5512 and 5523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5512 and 5523, than apply into the LCM equation.

GCF(5512,5523) = 1
LCM(5512,5523) = ( 5512 × 5523) / 1
LCM(5512,5523) = 30442776 / 1
LCM(5512,5523) = 30442776

Least Common Multiple (LCM) of 5512 and 5523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5512 and 5523. First we will calculate the prime factors of 5512 and 5523.

Prime Factorization of 5512

Prime factors of 5512 are 2, 13, 53. Prime factorization of 5512 in exponential form is:

5512 = 23 × 131 × 531

Prime Factorization of 5523

Prime factors of 5523 are 3, 7, 263. Prime factorization of 5523 in exponential form is:

5523 = 31 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 5512 and 5523.

LCM(5512,5523) = 23 × 131 × 531 × 31 × 71 × 2631
LCM(5512,5523) = 30442776